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Finding the Fourth Proportional to 390.07, 537.74 and 320.03

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Solution

The fourth proportional to 390.07, 537.74 and 320.03 is: 441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.07 : 537.74 = 320.03 : x
  2. Step 2: Convert to fraction form
    390.07/537.74 = 320.03/x
  3. Step 3: Cross multiply
    390.07x = 537.74 × 320.03
  4. Step 4: Simplify right side
    390.07x = 172,091.33
  5. Step 5: Solve for x
    x = 172,091.33/390.07
  6. Step 6: Final answer
    x = 441.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.